Integrability

Integrability

Author: Alexander Mikhailov

Publisher: Springer

Published: 2008-11-05

Total Pages: 348

ISBN-13: 3540881115

DOWNLOAD EBOOK

The principal aim of the book is to give a comprehensive account of the variety of approaches to such an important and complex concept as Integrability. Dev- oping mathematical models, physicists often raise the following questions: whether the model obtained is integrable or close in some sense to an integrable one and whether it can be studied in depth analytically. In this book we have tried to c- ate a mathematical framework to address these issues, and we give descriptions of methods and review results. In the Introduction we give a historical account of the birth and development of the theory of integrable equations, focusing on the main issue of the book – the concept of integrability itself. A universal de nition of Integrability is proving to be elusive despite more than 40 years of its development. Often such notions as “- act solvability” or “regular behaviour” of solutions are associated with integrable systems. Unfortunately these notions do not lead to any rigorous mathematical d- inition. A constructive approach could be based upon the study of hidden and rich algebraic or analytic structures associated with integrable equations. The requi- ment of existence of elements of these structures could, in principle, be taken as a de nition for integrability. It is astonishing that the nal result is not sensitive to the choice of the structure taken; eventually we arrive at the same pattern of eq- tions.


Foundational and Practical Aspects of Resource Analysis

Foundational and Practical Aspects of Resource Analysis

Author: Ricardo Peña

Publisher: Springer

Published: 2012-07-16

Total Pages: 149

ISBN-13: 3642324959

DOWNLOAD EBOOK

This book constitutes the refereed post-proceedings of the Second International Workshop on Foundational and Practical Aspects of Resource Analysis, FOPARA 2011, held in Madrid, Spain, in May 2011. The 8 revised full papers were carefully reviewed and selected from the papers presented at the workshop and papers submitted following an open call for contributions after the workshop. The papers are organized in the following topical sections: implicit complexity, analysis and verfication of cost expressions, and worst case execution time analysis.


Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing

Author: V.G. Ganzha

Publisher: Springer Science & Business Media

Published: 2006-09-12

Total Pages: 323

ISBN-13: 354045182X

DOWNLOAD EBOOK

This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006. The book presents 25 revised full papers together with 2 invited papers, covering various expanding applications of computer algebra to scientific computing, the computer algebra systems themselves, and the CA algorithms. Topics addressed are studies in Gröbner bases, polynomial algebra, homological algebra, quantifier elimination, celestial mechanics, and more.


Encyclopedia of Microcomputers

Encyclopedia of Microcomputers

Author: Allen Kent

Publisher: CRC Press

Published: 1995-10-13

Total Pages: 426

ISBN-13: 9780824727154

DOWNLOAD EBOOK

Strategies in the Microprocessor Industry to Teaching Critical Thinking and Problem Solving


Feynman Integral Calculus

Feynman Integral Calculus

Author: Vladimir A. Smirnov

Publisher: Springer Science & Business Media

Published: 2006-11-15

Total Pages: 288

ISBN-13: 3540306110

DOWNLOAD EBOOK

The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. The book characterizes the most powerful methods and illustrates them with numerous examples starting from very simple ones and progressing to nontrivial examples. The book demonstrates how to choose adequate methods and combine evaluation methods in a non-trivial way. The most powerful methods are characterized and then illustrated through numerous examples. This is an updated textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author.


Control and Prediction of Solid-State of Pharmaceuticals

Control and Prediction of Solid-State of Pharmaceuticals

Author: Rajni Miglani Bhardwaj

Publisher: Springer

Published: 2016-02-02

Total Pages: 267

ISBN-13: 3319275550

DOWNLOAD EBOOK

This thesis investigates a range of experimental and computational approaches for the discovery of solid forms. Furthermore, we gain, as readers, a better understanding of the key factors underpinning solid-structure and diversity. A major part of this thesis highlights experimental work carried out on two structurally very similar compounds. Another important section involves looking at the influence of small changes in structure and substituents on solid-structure and diversity using computational tools including crystal structure prediction, PIXEL calculations, Xpac, Mercury and statistical modeling tools. In addition, the author presents a fast validated method for solid-state form screening using Raman microscopy on multi-well plates to explore the experimental crystallization space. This thesis illustrates an inexpensive, practical and accurate way to predict the crystallizability of organic compounds based on molecular structure alone, and additionally highlights the molecular factors that inhibit or promote crystallization.


Encyclopedia of Epidemiology

Encyclopedia of Epidemiology

Author: Sarah Boslaugh

Publisher: SAGE

Published: 2008

Total Pages: 1241

ISBN-13: 1412928168

DOWNLOAD EBOOK

Presents information from the field of epidemiology in a less technical, more accessible format. Covers major topics in epidemiology, from risk ratios to case-control studies to mediating and moderating variables, and more. Relevant topics from related fields such as biostatistics and health economics are also included.


HEC-FDA Sensitivity and Uncertainty Analysis

HEC-FDA Sensitivity and Uncertainty Analysis

Author: Mary Joyce Briant

Publisher:

Published: 2001

Total Pages: 280

ISBN-13:

DOWNLOAD EBOOK

The U.S. Army Corps of Engineers software HEC-FDA is a tool that uses Risk-based Analysis to compute Expected Annual Damage (EAD) for flood damage reduction studies. EAD reduction is computed as the difference between EAD with and without alternative projects, a quantity used to aid in flood damage reduction project selection. Depending on the time and money spent in the collection and preparation of the input data sets, relatively lesser or greater accuracy can be achieved in EAD computation. Sets of numerical experiments on synthetic large and small drainage basins show that EAD is differently sensitive to the major input functions to HEC-FDA and their associated uncertainties depending on drainage area and the shape of the damage-stage curve. The results from the synthetic data sets are verified by two case studies on the Blue River, Missouri and the Chippewa River, Georgia. The relative sensitivity of EAD to its input functions and associated uncertainties can be used in federal investment decision-making for flood damage reduction projects.


Model Order Reduction: Theory, Research Aspects and Applications

Model Order Reduction: Theory, Research Aspects and Applications

Author: Wilhelmus H. Schilders

Publisher: Springer Science & Business Media

Published: 2008-08-27

Total Pages: 471

ISBN-13: 3540788417

DOWNLOAD EBOOK

The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order reduction, starting from the very basics and containing an overview of all relevant techniques, would be of great use for students, young researchers starting in the ?eld, and experienced researchers. The observation that most of the theory on model order reduction is scattered over many good papers, making it dif?cult to ?nd a good starting point, was supported by most of the participants. Moreover, most of the speakers at the workshop were willing to contribute to the book that is now in front of you. The goal of this book, as de?ned during the discussion sessions at the workshop, is three-fold: ?rst, it should describe the basics of model order reduction. Second, both general and more specialized model order reduction techniques for linear and nonlinear systems should be covered, including the use of several related numerical techniques. Third, the use of model order reduction techniques in practical appli- tions and current research aspects should be discussed. We have organized the book according to these goals. In Part I, the rationale behind model order reduction is explained, and an overview of the most common methods is described.


Encyclopedia of Computer Science and Technology

Encyclopedia of Computer Science and Technology

Author: Allen Kent

Publisher: CRC Press

Published: 1992-10-29

Total Pages: 416

ISBN-13: 9780824722807

DOWNLOAD EBOOK

"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."